TY  - JOUR
AU  - Tomović, Aleksandar
AU  - Šalinić, Slaviša
AU  - Obradović, Aleksandar
AU  - Zorić, Nemanja
AU  - Mitrović, Zoran
PY  - 2023
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6872
AB  - Purpose This study aims to obtain and present the closed-form solution of coupled
axial-bending vibration problem for the general case of axially functionally graded
(AFG) beams, to create the frequency equation and to propose numerical method for
computing natural frequencies.
Methods The general model of a beam is introduced using two cylindrical springs, one
rotational spring, and a rigid body at each beam end. Mass centers of bodies are
placed eccentrically in axial and transverse direction with respect to end points of the
beam. The general boundary conditions are modelled by linearized Newton-Euler
differential equations and the general case of the in-plane axial-bending vibrations of
AFG beams is covered. It is assumed that the beam is made of a functionally graded
material whose material and cross-sectional characteristics change along its
longitudinal axis without any restrictions. The Euler-Bernoulli constitutive theory is
applied for modelling. Partial differential equations of motion are transformed into a
system of ordinary differential equations with variable coefficients, the form suitable for
the implementation of the symbolic-numeric methods of initial parameters. Natural
frequencies of the beam are computed as numerical solutions of the exact frequency
equation.
Results and conclusions The closed-form solution of coupled axial-bending vibrations
is derived for general case of AFG beams. Orthogonality conditions of mode shapes
are derived, and constants in time function. Also, the frequency equation is derived and
solved numerically in order to obtain natural frequencies. Obtained results of natural
frequencies and mode shapes are compared to those available in open literature.
PB  - Springer
T2  - Journal of Vibration Engineering & Technologies
T1  - Coupled bending and axial vibrations of axially functionally graded Euler-Bernoulli beams
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6872
ER  - 

@article{
author = "Tomović, Aleksandar and Šalinić, Slaviša and Obradović, Aleksandar and Zorić, Nemanja and Mitrović, Zoran",
year = "2023",
abstract = "Purpose This study aims to obtain and present the closed-form solution of coupled
axial-bending vibration problem for the general case of axially functionally graded
(AFG) beams, to create the frequency equation and to propose numerical method for
computing natural frequencies.
Methods The general model of a beam is introduced using two cylindrical springs, one
rotational spring, and a rigid body at each beam end. Mass centers of bodies are
placed eccentrically in axial and transverse direction with respect to end points of the
beam. The general boundary conditions are modelled by linearized Newton-Euler
differential equations and the general case of the in-plane axial-bending vibrations of
AFG beams is covered. It is assumed that the beam is made of a functionally graded
material whose material and cross-sectional characteristics change along its
longitudinal axis without any restrictions. The Euler-Bernoulli constitutive theory is
applied for modelling. Partial differential equations of motion are transformed into a
system of ordinary differential equations with variable coefficients, the form suitable for
the implementation of the symbolic-numeric methods of initial parameters. Natural
frequencies of the beam are computed as numerical solutions of the exact frequency
equation.
Results and conclusions The closed-form solution of coupled axial-bending vibrations
is derived for general case of AFG beams. Orthogonality conditions of mode shapes
are derived, and constants in time function. Also, the frequency equation is derived and
solved numerically in order to obtain natural frequencies. Obtained results of natural
frequencies and mode shapes are compared to those available in open literature.",
publisher = "Springer",
journal = "Journal of Vibration Engineering & Technologies",
title = "Coupled bending and axial vibrations of axially functionally graded Euler-Bernoulli beams",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6872"
}

Tomović, A., Šalinić, S., Obradović, A., Zorić, N.,& Mitrović, Z.. (2023). Coupled bending and axial vibrations of axially functionally graded Euler-Bernoulli beams. in Journal of Vibration Engineering & Technologies
Springer..
https://hdl.handle.net/21.15107/rcub_machinery_6872

Tomović A, Šalinić S, Obradović A, Zorić N, Mitrović Z. Coupled bending and axial vibrations of axially functionally graded Euler-Bernoulli beams. in Journal of Vibration Engineering & Technologies. 2023;.
https://hdl.handle.net/21.15107/rcub_machinery_6872 .

Tomović, Aleksandar, Šalinić, Slaviša, Obradović, Aleksandar, Zorić, Nemanja, Mitrović, Zoran, "Coupled bending and axial vibrations of axially functionally graded Euler-Bernoulli beams" in Journal of Vibration Engineering & Technologies (2023),
https://hdl.handle.net/21.15107/rcub_machinery_6872 .

TY  - CONF
AU  - Veg, Marko
AU  - Tomović, Aleksandar
AU  - Šiniković, Goran
AU  - Dikić, Stefan
AU  - Zorić, Nemanja
AU  - Šalinić, Slaviša
AU  - Obradović, Aleksandar
AU  - Mitrović, Zoran
PY  - 2023
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6909
AB  - This paper presents the continuation of the research by the authors on the topics of vibration analysis. Namely, a tapered cantilever beam has been studied in theoretical and experimental terms. The beam is 3D printed using the FDM technique of PLA material with two characteristics patterns, linear layered and the two-dimensional periodic structure. The former of the two is conducted to tensile test in order to determine elasticity modulus, so the computations of natural frequencies could be conducted. The experimental part of the research, in terms of natural frequency, is conducted on six specimens with various eccentricities. The angular frequencies of one representative sample, obtained by analytical computations and experimental measurement are compared.
C3  - 9th International Congress of the Serbian Society of Mechanics July 5-7, 2023, Vrnjačka Banja, Serbia
T1  - EXPERIMENTAL AND NUMERICAL APPROACH TO NATURAL FREQUENCY OF TAPERED 3D PRINTED CANTILEVER BEAM A TIP BODY
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6909
ER  - 

@conference{
author = "Veg, Marko and Tomović, Aleksandar and Šiniković, Goran and Dikić, Stefan and Zorić, Nemanja and Šalinić, Slaviša and Obradović, Aleksandar and Mitrović, Zoran",
year = "2023",
abstract = "This paper presents the continuation of the research by the authors on the topics of vibration analysis. Namely, a tapered cantilever beam has been studied in theoretical and experimental terms. The beam is 3D printed using the FDM technique of PLA material with two characteristics patterns, linear layered and the two-dimensional periodic structure. The former of the two is conducted to tensile test in order to determine elasticity modulus, so the computations of natural frequencies could be conducted. The experimental part of the research, in terms of natural frequency, is conducted on six specimens with various eccentricities. The angular frequencies of one representative sample, obtained by analytical computations and experimental measurement are compared.",
journal = "9th International Congress of the Serbian Society of Mechanics July 5-7, 2023, Vrnjačka Banja, Serbia",
title = "EXPERIMENTAL AND NUMERICAL APPROACH TO NATURAL FREQUENCY OF TAPERED 3D PRINTED CANTILEVER BEAM A TIP BODY",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6909"
}

Veg, M., Tomović, A., Šiniković, G., Dikić, S., Zorić, N., Šalinić, S., Obradović, A.,& Mitrović, Z.. (2023). EXPERIMENTAL AND NUMERICAL APPROACH TO NATURAL FREQUENCY OF TAPERED 3D PRINTED CANTILEVER BEAM A TIP BODY. in 9th International Congress of the Serbian Society of Mechanics July 5-7, 2023, Vrnjačka Banja, Serbia.
https://hdl.handle.net/21.15107/rcub_machinery_6909

Veg M, Tomović A, Šiniković G, Dikić S, Zorić N, Šalinić S, Obradović A, Mitrović Z. EXPERIMENTAL AND NUMERICAL APPROACH TO NATURAL FREQUENCY OF TAPERED 3D PRINTED CANTILEVER BEAM A TIP BODY. in 9th International Congress of the Serbian Society of Mechanics July 5-7, 2023, Vrnjačka Banja, Serbia. 2023;.
https://hdl.handle.net/21.15107/rcub_machinery_6909 .

Veg, Marko, Tomović, Aleksandar, Šiniković, Goran, Dikić, Stefan, Zorić, Nemanja, Šalinić, Slaviša, Obradović, Aleksandar, Mitrović, Zoran, "EXPERIMENTAL AND NUMERICAL APPROACH TO NATURAL FREQUENCY OF TAPERED 3D PRINTED CANTILEVER BEAM A TIP BODY" in 9th International Congress of the Serbian Society of Mechanics July 5-7, 2023, Vrnjačka Banja, Serbia (2023),
https://hdl.handle.net/21.15107/rcub_machinery_6909 .

TY  - JOUR
AU  - Obradović, Aleksandar
AU  - Mitrović, Zoran
AU  - Šalinić, Slaviša
PY  - 2022
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3691
AB  - The paper considers a heavy homogeneous ball rolling without slipping on the outside of a real rough fixed surface of revolution, which is generated by rotating a plane curve around a vertical axis. By applying the Coulomb sliding friction law, the position is established at which slipping occurs during rolling down the surface, and thereafter this mechanical system ceases to be holonomic. Dynamic differential equations of motion are obtained using general theorems of mechanics. The paper presents the procedure of determining the tangential and normal component of the reaction of constraint depending on the height of the contact point between the ball and the surface. On the basis of the initial total mechanical energy of the system and the value of Coulomb friction coefficient, the condition is determined to prevent the ball from slipping, as well as the height interval in which the considered system behaves as a nonholonomic system. The procedure is illustrated by examples of surfaces generated by rotating segments of the circular arc, line and parabola. In the last example there is not a closed-form solution, so that numerical integration of a corresponding Cauchy problem is performed.
PB  - Elsevier Science Inc, New York
T2  - Applied Mathematics and Computation
T1  - On the problem of a heavy homogeneous ball rolling without slipping over a fixed surface of revolution
VL  - 420
DO  - 10.1016/j.amc.2021.126906
ER  - 

@article{
author = "Obradović, Aleksandar and Mitrović, Zoran and Šalinić, Slaviša",
year = "2022",
abstract = "The paper considers a heavy homogeneous ball rolling without slipping on the outside of a real rough fixed surface of revolution, which is generated by rotating a plane curve around a vertical axis. By applying the Coulomb sliding friction law, the position is established at which slipping occurs during rolling down the surface, and thereafter this mechanical system ceases to be holonomic. Dynamic differential equations of motion are obtained using general theorems of mechanics. The paper presents the procedure of determining the tangential and normal component of the reaction of constraint depending on the height of the contact point between the ball and the surface. On the basis of the initial total mechanical energy of the system and the value of Coulomb friction coefficient, the condition is determined to prevent the ball from slipping, as well as the height interval in which the considered system behaves as a nonholonomic system. The procedure is illustrated by examples of surfaces generated by rotating segments of the circular arc, line and parabola. In the last example there is not a closed-form solution, so that numerical integration of a corresponding Cauchy problem is performed.",
publisher = "Elsevier Science Inc, New York",
journal = "Applied Mathematics and Computation",
title = "On the problem of a heavy homogeneous ball rolling without slipping over a fixed surface of revolution",
volume = "420",
doi = "10.1016/j.amc.2021.126906"
}

Obradović, A., Mitrović, Z.,& Šalinić, S.. (2022). On the problem of a heavy homogeneous ball rolling without slipping over a fixed surface of revolution. in Applied Mathematics and Computation
Elsevier Science Inc, New York., 420.
https://doi.org/10.1016/j.amc.2021.126906

Obradović A, Mitrović Z, Šalinić S. On the problem of a heavy homogeneous ball rolling without slipping over a fixed surface of revolution. in Applied Mathematics and Computation. 2022;420.
doi:10.1016/j.amc.2021.126906 .

Obradović, Aleksandar, Mitrović, Zoran, Šalinić, Slaviša, "On the problem of a heavy homogeneous ball rolling without slipping over a fixed surface of revolution" in Applied Mathematics and Computation, 420 (2022),
https://doi.org/10.1016/j.amc.2021.126906 . .

TY  - JOUR
AU  - Obradović, Aleksandar
AU  - Mitrović, Zoran
AU  - Šalinić, Slaviša
PY  - 2022
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4361
AB  - The paper considers a heavy homogeneous ball rolling without slipping on the outside of a real rough fixed surface of revolution, which is generated by rotating a plane curve around a vertical axis. By applying the Coulomb sliding friction law, the position is established at which slipping occurs during rolling down the surface, and thereafter this mechanical system ceases to be holonomic. Dynamic differential equations of motion are obtained using general theorems of mechanics. The paper presents the procedure of determining the tangential and normal component of the reaction of constraint depending on the height of the contact point between the ball and the surface. On the basis of the initial total mechanical energy of the system and the value of Coulomb friction coefficient, the condition is determined to prevent the ball from slipping, as well as the height interval in which the considered system behaves as a nonholonomic system. The procedure is illustrated by examples of surfaces generated by rotating segments of the circular arc, line and parabola. In the last example there is not a closed-form solution, so that numerical integration of a corresponding Cauchy problem is performed.
PB  - Elsevier Science Inc, New York
T2  - Applied Mathematics and Computation
T1  - On the problem of a heavy homogeneous ball rolling without slipping over a fixed surface of revolution
VL  - 420
DO  - 10.1016/j.amc.2021.126906
ER  - 

@article{
author = "Obradović, Aleksandar and Mitrović, Zoran and Šalinić, Slaviša",
year = "2022",
abstract = "The paper considers a heavy homogeneous ball rolling without slipping on the outside of a real rough fixed surface of revolution, which is generated by rotating a plane curve around a vertical axis. By applying the Coulomb sliding friction law, the position is established at which slipping occurs during rolling down the surface, and thereafter this mechanical system ceases to be holonomic. Dynamic differential equations of motion are obtained using general theorems of mechanics. The paper presents the procedure of determining the tangential and normal component of the reaction of constraint depending on the height of the contact point between the ball and the surface. On the basis of the initial total mechanical energy of the system and the value of Coulomb friction coefficient, the condition is determined to prevent the ball from slipping, as well as the height interval in which the considered system behaves as a nonholonomic system. The procedure is illustrated by examples of surfaces generated by rotating segments of the circular arc, line and parabola. In the last example there is not a closed-form solution, so that numerical integration of a corresponding Cauchy problem is performed.",
publisher = "Elsevier Science Inc, New York",
journal = "Applied Mathematics and Computation",
title = "On the problem of a heavy homogeneous ball rolling without slipping over a fixed surface of revolution",
volume = "420",
doi = "10.1016/j.amc.2021.126906"
}

Obradović, A., Mitrović, Z.,& Šalinić, S.. (2022). On the problem of a heavy homogeneous ball rolling without slipping over a fixed surface of revolution. in Applied Mathematics and Computation
Elsevier Science Inc, New York., 420.
https://doi.org/10.1016/j.amc.2021.126906

Obradović A, Mitrović Z, Šalinić S. On the problem of a heavy homogeneous ball rolling without slipping over a fixed surface of revolution. in Applied Mathematics and Computation. 2022;420.
doi:10.1016/j.amc.2021.126906 .

Obradović, Aleksandar, Mitrović, Zoran, Šalinić, Slaviša, "On the problem of a heavy homogeneous ball rolling without slipping over a fixed surface of revolution" in Applied Mathematics and Computation, 420 (2022),
https://doi.org/10.1016/j.amc.2021.126906 . .

TY  - CONF
AU  - Obradović, Aleksandar
AU  - Mitrović, Zoran
AU  - Zorić, Nemanja
PY  - 2021
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3984
AB  - Shape optimization of an AFG Timoshenko cantilever beam of a variable cross-sectional
area, with a specified fundamental frequency, is considered. The cantilever beam has a finitedimensional
body placed eccentrically at the right end. Optimization is performed in terms of
beam mass minimization. Considerations involve the case of coupled axial and bending
oscillations, where contour conditions are the cause of coupling, which exist at the place of
junction between the cantilever beam and the body. The problem is solved applying Pontryagin’s
maximum principle, with the beam cross-sectional area being taken for control. The two-point
boundary value problem is obtained, and the shooting method is applied to solving it. The
property of self-adjoint systems is employed, where all costate variables are expressed by state
variables, which facilitates solving the appropriate differential equations. Also, the percent saving
of the beam mass is determined, achieved by using the cantilever beam of an optimum variable
square cross-section compared to the cantilever beam of a constant cross-section at specified
value of the fundamental frequency.
PB  - Beograd : Srpsko društvo za mehaniku
C3  - Procceding of 8th International Congress of Serbian Society of Mechanics Kragujevac, Serbia, June 28-30, 2021
T1  - Mass minimization of an AFG Timoshenko cantilever beam with a large body placed eccentrically at the beam end
EP  - 183
SP  - 176
UR  - https://hdl.handle.net/21.15107/rcub_machinery_3984
ER  - 

@conference{
author = "Obradović, Aleksandar and Mitrović, Zoran and Zorić, Nemanja",
year = "2021",
abstract = "Shape optimization of an AFG Timoshenko cantilever beam of a variable cross-sectional
area, with a specified fundamental frequency, is considered. The cantilever beam has a finitedimensional
body placed eccentrically at the right end. Optimization is performed in terms of
beam mass minimization. Considerations involve the case of coupled axial and bending
oscillations, where contour conditions are the cause of coupling, which exist at the place of
junction between the cantilever beam and the body. The problem is solved applying Pontryagin’s
maximum principle, with the beam cross-sectional area being taken for control. The two-point
boundary value problem is obtained, and the shooting method is applied to solving it. The
property of self-adjoint systems is employed, where all costate variables are expressed by state
variables, which facilitates solving the appropriate differential equations. Also, the percent saving
of the beam mass is determined, achieved by using the cantilever beam of an optimum variable
square cross-section compared to the cantilever beam of a constant cross-section at specified
value of the fundamental frequency.",
publisher = "Beograd : Srpsko društvo za mehaniku",
journal = "Procceding of 8th International Congress of Serbian Society of Mechanics Kragujevac, Serbia, June 28-30, 2021",
title = "Mass minimization of an AFG Timoshenko cantilever beam with a large body placed eccentrically at the beam end",
pages = "183-176",
url = "https://hdl.handle.net/21.15107/rcub_machinery_3984"
}

Obradović, A., Mitrović, Z.,& Zorić, N.. (2021). Mass minimization of an AFG Timoshenko cantilever beam with a large body placed eccentrically at the beam end. in Procceding of 8th International Congress of Serbian Society of Mechanics Kragujevac, Serbia, June 28-30, 2021
Beograd : Srpsko društvo za mehaniku., 176-183.
https://hdl.handle.net/21.15107/rcub_machinery_3984

Obradović A, Mitrović Z, Zorić N. Mass minimization of an AFG Timoshenko cantilever beam with a large body placed eccentrically at the beam end. in Procceding of 8th International Congress of Serbian Society of Mechanics Kragujevac, Serbia, June 28-30, 2021. 2021;:176-183.
https://hdl.handle.net/21.15107/rcub_machinery_3984 .

Obradović, Aleksandar, Mitrović, Zoran, Zorić, Nemanja, "Mass minimization of an AFG Timoshenko cantilever beam with a large body placed eccentrically at the beam end" in Procceding of 8th International Congress of Serbian Society of Mechanics Kragujevac, Serbia, June 28-30, 2021 (2021):176-183,
https://hdl.handle.net/21.15107/rcub_machinery_3984 .

TY  - CONF
AU  - Zorić, Nemanja
AU  - Radulović, Radoslav
AU  - Jazarević, Vladimir
AU  - Mitrović, Zoran
PY  - 2020
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3991
AB  - Ramjet engine presents the simplest type of jet engines since it does not possess moving parts, like
compressors, shafts and turbines. Besides its simplicity, it provides efficient performances in a wide range of altitudes,
supersonic speeds and angles of attack. In order to provide desirable performances during exploitations, a ramjet
engine must be operated by means of feedback control. This paper presents the design of robust H∞ controller for thrust
controller of the ramjet engine. Linear model of the engine is obtained by numerical solution of nonlinear equations
which describe processes in the engine. This model is found for operation points in the operational envelop, defined by
a single altitude, a single Mach number and a single angle of attack. The thrust controller is developed by using the H∞
control methodology for single representative operation point. After that, obtained controller is reduced to the PI
controller and its performances are compared with performances of the full order controller. Also, these controllers are
applied to other operation points which closed-lop performances are then compared. The analysis of necessity for the
gain scheduling implementation is performed.
PB  - Belgrade : Military Technical Institute
C3  - 9th International Scientific Conference on Defensive Technologies (OTEH 2020), Beograd, Serbia, October 15-16 2020
T1  - H∞ Robust Control of Ramjet Engine
UR  - https://hdl.handle.net/21.15107/rcub_machinery_3991
ER  - 

@conference{
author = "Zorić, Nemanja and Radulović, Radoslav and Jazarević, Vladimir and Mitrović, Zoran",
year = "2020",
abstract = "Ramjet engine presents the simplest type of jet engines since it does not possess moving parts, like
compressors, shafts and turbines. Besides its simplicity, it provides efficient performances in a wide range of altitudes,
supersonic speeds and angles of attack. In order to provide desirable performances during exploitations, a ramjet
engine must be operated by means of feedback control. This paper presents the design of robust H∞ controller for thrust
controller of the ramjet engine. Linear model of the engine is obtained by numerical solution of nonlinear equations
which describe processes in the engine. This model is found for operation points in the operational envelop, defined by
a single altitude, a single Mach number and a single angle of attack. The thrust controller is developed by using the H∞
control methodology for single representative operation point. After that, obtained controller is reduced to the PI
controller and its performances are compared with performances of the full order controller. Also, these controllers are
applied to other operation points which closed-lop performances are then compared. The analysis of necessity for the
gain scheduling implementation is performed.",
publisher = "Belgrade : Military Technical Institute",
journal = "9th International Scientific Conference on Defensive Technologies (OTEH 2020), Beograd, Serbia, October 15-16 2020",
title = "H∞ Robust Control of Ramjet Engine",
url = "https://hdl.handle.net/21.15107/rcub_machinery_3991"
}

Zorić, N., Radulović, R., Jazarević, V.,& Mitrović, Z.. (2020). H∞ Robust Control of Ramjet Engine. in 9th International Scientific Conference on Defensive Technologies (OTEH 2020), Beograd, Serbia, October 15-16 2020
Belgrade : Military Technical Institute..
https://hdl.handle.net/21.15107/rcub_machinery_3991

Zorić N, Radulović R, Jazarević V, Mitrović Z. H∞ Robust Control of Ramjet Engine. in 9th International Scientific Conference on Defensive Technologies (OTEH 2020), Beograd, Serbia, October 15-16 2020. 2020;.
https://hdl.handle.net/21.15107/rcub_machinery_3991 .

Zorić, Nemanja, Radulović, Radoslav, Jazarević, Vladimir, Mitrović, Zoran, "H∞ Robust Control of Ramjet Engine" in 9th International Scientific Conference on Defensive Technologies (OTEH 2020), Beograd, Serbia, October 15-16 2020 (2020),
https://hdl.handle.net/21.15107/rcub_machinery_3991 .

TY  - CONF
AU  - Zorić, Nemanja
AU  - Tomović, Aleksandar
AU  - Obradović, Aleksandar
AU  - Mitrović, Zoran
PY  - 2020
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4025
AB  - Smart structures are obtained by integration of actuators, sensors and controllers into conventional structures
and they play an important role in the field of active vibration control, especially in aerospace engineering.
Certain elements of a smart structure possess viscoelastic properties which can be modeled by using fractional
calculus. The fractional-order model of a smart structure implies the necessity of using fractional order
controllers instead of integer order controllers. This paper deals with design of the fractional-order proportionalderivative
(PD) controller with robust stability and disturbance rejection. The transfer function of the fractionalorder
PD controller is parameterized, and these parameters are found by using of the Particle swarm
optimization method minimizing a cost function related to the H����� norm. The fractional-order model of the smart
structure is found by experimental identification by using the frequency response method. In order to represent
the efficiency of the proposed controller, obtained results are compared with the corresponding results in the
case when an integer-order PD controller is applied.
C3  - International Conference of Experimental and Numerical Investigations and New Technologies (CNN TECH 2020)
T1  - Fractional-order PD control design for active vibration control of smart structures
EP  - 57
SP  - 57
UR  - https://hdl.handle.net/21.15107/rcub_machinery_4025
ER  - 

@conference{
author = "Zorić, Nemanja and Tomović, Aleksandar and Obradović, Aleksandar and Mitrović, Zoran",
year = "2020",
abstract = "Smart structures are obtained by integration of actuators, sensors and controllers into conventional structures
and they play an important role in the field of active vibration control, especially in aerospace engineering.
Certain elements of a smart structure possess viscoelastic properties which can be modeled by using fractional
calculus. The fractional-order model of a smart structure implies the necessity of using fractional order
controllers instead of integer order controllers. This paper deals with design of the fractional-order proportionalderivative
(PD) controller with robust stability and disturbance rejection. The transfer function of the fractionalorder
PD controller is parameterized, and these parameters are found by using of the Particle swarm
optimization method minimizing a cost function related to the H����� norm. The fractional-order model of the smart
structure is found by experimental identification by using the frequency response method. In order to represent
the efficiency of the proposed controller, obtained results are compared with the corresponding results in the
case when an integer-order PD controller is applied.",
journal = "International Conference of Experimental and Numerical Investigations and New Technologies (CNN TECH 2020)",
title = "Fractional-order PD control design for active vibration control of smart structures",
pages = "57-57",
url = "https://hdl.handle.net/21.15107/rcub_machinery_4025"
}

Zorić, N., Tomović, A., Obradović, A.,& Mitrović, Z.. (2020). Fractional-order PD control design for active vibration control of smart structures. in International Conference of Experimental and Numerical Investigations and New Technologies (CNN TECH 2020), 57-57.
https://hdl.handle.net/21.15107/rcub_machinery_4025

Zorić N, Tomović A, Obradović A, Mitrović Z. Fractional-order PD control design for active vibration control of smart structures. in International Conference of Experimental and Numerical Investigations and New Technologies (CNN TECH 2020). 2020;:57-57.
https://hdl.handle.net/21.15107/rcub_machinery_4025 .

Zorić, Nemanja, Tomović, Aleksandar, Obradović, Aleksandar, Mitrović, Zoran, "Fractional-order PD control design for active vibration control of smart structures" in International Conference of Experimental and Numerical Investigations and New Technologies (CNN TECH 2020) (2020):57-57,
https://hdl.handle.net/21.15107/rcub_machinery_4025 .

TY  - CONF
AU  - Tomović, Aleksandar
AU  - Šalinić, Slaviša
AU  - Obradović, Aleksandar
AU  - Lazarević, Mihailo
AU  - Mitrović, Zoran
PY  - 2019
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4028
AB  - In this paper we present the solution of exact equations of motion for coupled axial and
bending vibrations of a non-uniform axially functionally graded (AFG) cantilever beam with a
body of which mass center is eccentrically displaced in axial and transverse direction with respect
to the beam’s end. The Euler-Bernoulli beam theory is implemented to model behavior of the
beam under axial and transverse in-plane vibrations. Based on the paper [1], that is supported by
results publish in the paper [2] authors confirm the obtained results of natural frequencies of the
AFG cantilever beam, when boundary conditions define the vibration coupling. The modified
symbolic-numeric method of initial parameters presented in [3] is implemented in computing
natural frequencies of the beam. This method is expanded to solve axial-bending vibration
problems, with respect to the one presented in the literature [3] for the problem of the vibration of
a cantilever beam. Some minor deviations in the obtained results may be noticed with respect to
those obtained in [1], yet all within a tolerance domain due to the computational precision.
PB  - Beograd : Srpsko društvo za mehaniku
C3  - Proceeding of 7th International Congress of Serbian Society of Mechanics Sremski Karlovci, Serbia, June 24-26, 2019
T1  - The exact natural frequency solution of a free axialbending vibration problem of a non-uniform AFG cantilever beam with a tip body
SP  - M4c
UR  - https://hdl.handle.net/21.15107/rcub_machinery_4028
ER  - 

@conference{
author = "Tomović, Aleksandar and Šalinić, Slaviša and Obradović, Aleksandar and Lazarević, Mihailo and Mitrović, Zoran",
year = "2019",
abstract = "In this paper we present the solution of exact equations of motion for coupled axial and
bending vibrations of a non-uniform axially functionally graded (AFG) cantilever beam with a
body of which mass center is eccentrically displaced in axial and transverse direction with respect
to the beam’s end. The Euler-Bernoulli beam theory is implemented to model behavior of the
beam under axial and transverse in-plane vibrations. Based on the paper [1], that is supported by
results publish in the paper [2] authors confirm the obtained results of natural frequencies of the
AFG cantilever beam, when boundary conditions define the vibration coupling. The modified
symbolic-numeric method of initial parameters presented in [3] is implemented in computing
natural frequencies of the beam. This method is expanded to solve axial-bending vibration
problems, with respect to the one presented in the literature [3] for the problem of the vibration of
a cantilever beam. Some minor deviations in the obtained results may be noticed with respect to
those obtained in [1], yet all within a tolerance domain due to the computational precision.",
publisher = "Beograd : Srpsko društvo za mehaniku",
journal = "Proceeding of 7th International Congress of Serbian Society of Mechanics Sremski Karlovci, Serbia, June 24-26, 2019",
title = "The exact natural frequency solution of a free axialbending vibration problem of a non-uniform AFG cantilever beam with a tip body",
pages = "M4c",
url = "https://hdl.handle.net/21.15107/rcub_machinery_4028"
}

Tomović, A., Šalinić, S., Obradović, A., Lazarević, M.,& Mitrović, Z.. (2019). The exact natural frequency solution of a free axialbending vibration problem of a non-uniform AFG cantilever beam with a tip body. in Proceeding of 7th International Congress of Serbian Society of Mechanics Sremski Karlovci, Serbia, June 24-26, 2019
Beograd : Srpsko društvo za mehaniku., M4c.
https://hdl.handle.net/21.15107/rcub_machinery_4028

Tomović A, Šalinić S, Obradović A, Lazarević M, Mitrović Z. The exact natural frequency solution of a free axialbending vibration problem of a non-uniform AFG cantilever beam with a tip body. in Proceeding of 7th International Congress of Serbian Society of Mechanics Sremski Karlovci, Serbia, June 24-26, 2019. 2019;:M4c.
https://hdl.handle.net/21.15107/rcub_machinery_4028 .

Tomović, Aleksandar, Šalinić, Slaviša, Obradović, Aleksandar, Lazarević, Mihailo, Mitrović, Zoran, "The exact natural frequency solution of a free axialbending vibration problem of a non-uniform AFG cantilever beam with a tip body" in Proceeding of 7th International Congress of Serbian Society of Mechanics Sremski Karlovci, Serbia, June 24-26, 2019 (2019):M4c,
https://hdl.handle.net/21.15107/rcub_machinery_4028 .

TY  - JOUR
AU  - Radulović, Radoslav
AU  - Obradović, Aleksandar
AU  - Šalinić, Slaviša
AU  - Mitrović, Zoran
PY  - 2017
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4362
AB  - The paper considers the brachistochronic motion of a wheeled vehicle on a horizontal plane surface. The objective is to transfer the vehicle from the specified initial position with given initial kinetic energy to the specified terminal position in minimum time with conserved total mechanical energy of the vehicle. The problem is solved by applying Pontryagin's maximum principle and singular optimal control theory. The projection of the reaction force of the horizontal plane applied on the front vehicle wheels onto the axis of the front vehicle axle is taken for a control variable. The cases of unbounded and bounded value of this projection are considered. The shooting method is used to solve the two-point boundary value problem arising from Pontryagin's maximum principle and singular optimal control theory.
PB  - Springer, Dordrecht
T2  - Nonlinear Dynamics
T1  - The brachistochronic motion of a wheeled vehicle
EP  - 205
IS  - 1
SP  - 191
VL  - 87
DO  - 10.1007/s11071-016-3035-3
ER  - 

@article{
author = "Radulović, Radoslav and Obradović, Aleksandar and Šalinić, Slaviša and Mitrović, Zoran",
year = "2017",
abstract = "The paper considers the brachistochronic motion of a wheeled vehicle on a horizontal plane surface. The objective is to transfer the vehicle from the specified initial position with given initial kinetic energy to the specified terminal position in minimum time with conserved total mechanical energy of the vehicle. The problem is solved by applying Pontryagin's maximum principle and singular optimal control theory. The projection of the reaction force of the horizontal plane applied on the front vehicle wheels onto the axis of the front vehicle axle is taken for a control variable. The cases of unbounded and bounded value of this projection are considered. The shooting method is used to solve the two-point boundary value problem arising from Pontryagin's maximum principle and singular optimal control theory.",
publisher = "Springer, Dordrecht",
journal = "Nonlinear Dynamics",
title = "The brachistochronic motion of a wheeled vehicle",
pages = "205-191",
number = "1",
volume = "87",
doi = "10.1007/s11071-016-3035-3"
}

Radulović, R., Obradović, A., Šalinić, S.,& Mitrović, Z.. (2017). The brachistochronic motion of a wheeled vehicle. in Nonlinear Dynamics
Springer, Dordrecht., 87(1), 191-205.
https://doi.org/10.1007/s11071-016-3035-3

Radulović R, Obradović A, Šalinić S, Mitrović Z. The brachistochronic motion of a wheeled vehicle. in Nonlinear Dynamics. 2017;87(1):191-205.
doi:10.1007/s11071-016-3035-3 .

Radulović, Radoslav, Obradović, Aleksandar, Šalinić, Slaviša, Mitrović, Zoran, "The brachistochronic motion of a wheeled vehicle" in Nonlinear Dynamics, 87, no. 1 (2017):191-205,
https://doi.org/10.1007/s11071-016-3035-3 . .

TY  - JOUR
AU  - Radulović, Radoslav
AU  - Obradović, Aleksandar
AU  - Šalinić, Slaviša
AU  - Mitrović, Zoran
PY  - 2017
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/2554
AB  - The paper considers the brachistochronic motion of a wheeled vehicle on a horizontal plane surface. The objective is to transfer the vehicle from the specified initial position with given initial kinetic energy to the specified terminal position in minimum time with conserved total mechanical energy of the vehicle. The problem is solved by applying Pontryagin's maximum principle and singular optimal control theory. The projection of the reaction force of the horizontal plane applied on the front vehicle wheels onto the axis of the front vehicle axle is taken for a control variable. The cases of unbounded and bounded value of this projection are considered. The shooting method is used to solve the two-point boundary value problem arising from Pontryagin's maximum principle and singular optimal control theory.
PB  - Springer, Dordrecht
T2  - Nonlinear Dynamics
T1  - The brachistochronic motion of a wheeled vehicle
EP  - 205
IS  - 1
SP  - 191
VL  - 87
DO  - 10.1007/s11071-016-3035-3
ER  - 

@article{
author = "Radulović, Radoslav and Obradović, Aleksandar and Šalinić, Slaviša and Mitrović, Zoran",
year = "2017",
abstract = "The paper considers the brachistochronic motion of a wheeled vehicle on a horizontal plane surface. The objective is to transfer the vehicle from the specified initial position with given initial kinetic energy to the specified terminal position in minimum time with conserved total mechanical energy of the vehicle. The problem is solved by applying Pontryagin's maximum principle and singular optimal control theory. The projection of the reaction force of the horizontal plane applied on the front vehicle wheels onto the axis of the front vehicle axle is taken for a control variable. The cases of unbounded and bounded value of this projection are considered. The shooting method is used to solve the two-point boundary value problem arising from Pontryagin's maximum principle and singular optimal control theory.",
publisher = "Springer, Dordrecht",
journal = "Nonlinear Dynamics",
title = "The brachistochronic motion of a wheeled vehicle",
pages = "205-191",
number = "1",
volume = "87",
doi = "10.1007/s11071-016-3035-3"
}

Radulović, R., Obradović, A., Šalinić, S.,& Mitrović, Z.. (2017). The brachistochronic motion of a wheeled vehicle. in Nonlinear Dynamics
Springer, Dordrecht., 87(1), 191-205.
https://doi.org/10.1007/s11071-016-3035-3

Radulović R, Obradović A, Šalinić S, Mitrović Z. The brachistochronic motion of a wheeled vehicle. in Nonlinear Dynamics. 2017;87(1):191-205.
doi:10.1007/s11071-016-3035-3 .

Radulović, Radoslav, Obradović, Aleksandar, Šalinić, Slaviša, Mitrović, Zoran, "The brachistochronic motion of a wheeled vehicle" in Nonlinear Dynamics, 87, no. 1 (2017):191-205,
https://doi.org/10.1007/s11071-016-3035-3 . .

TY  - CONF
AU  - Zorić, Nemanja
AU  - Tomović, Aleksandar
AU  - Mitrović, Zoran
AU  - Lazarević, Mihailo
AU  - Pavišić, Mirko
PY  - 2015
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4076
AB  - Position of piezoelectric actuators and sensors on a smart structure directly affects the
control performances of a smart structure. In order to improve efficiency of active vibration
control of a smart structure, optimization of piezoelectric actuators and sensors placement has
been performed. There are various optimization criteria for optimal placement of piezoelectric
actuator. The ‘state-of-the-art’ of optimization criteria is presented in [1]. The aim of this paper is
to compare control effectiveness of smart composite cantilever beam, where optimal
configurations of actuator-sensor pairs were found by using four optimization criteria (LQR based
optimization, grammian matrices, performance index and fuzzy optimization strategy). The
problem is formulated as multi-input-multi-output (MIMO) model. The beam is discretized by
using the finite element method (FEM). The particle swarm optimization (PSO) method is used to
find optimal configurations for each configuration.
PB  - Serbian Society of Mechanics
C3  - 5th International Congress of Serbian Society of Mechanics, Aranđelovac, 2015
T1  - Comparison of various optimization criteria for actuator placement for active vibration control of smart composite beam
IS  - C2b
UR  - https://hdl.handle.net/21.15107/rcub_machinery_4076
ER  - 

@conference{
author = "Zorić, Nemanja and Tomović, Aleksandar and Mitrović, Zoran and Lazarević, Mihailo and Pavišić, Mirko",
year = "2015",
abstract = "Position of piezoelectric actuators and sensors on a smart structure directly affects the
control performances of a smart structure. In order to improve efficiency of active vibration
control of a smart structure, optimization of piezoelectric actuators and sensors placement has
been performed. There are various optimization criteria for optimal placement of piezoelectric
actuator. The ‘state-of-the-art’ of optimization criteria is presented in [1]. The aim of this paper is
to compare control effectiveness of smart composite cantilever beam, where optimal
configurations of actuator-sensor pairs were found by using four optimization criteria (LQR based
optimization, grammian matrices, performance index and fuzzy optimization strategy). The
problem is formulated as multi-input-multi-output (MIMO) model. The beam is discretized by
using the finite element method (FEM). The particle swarm optimization (PSO) method is used to
find optimal configurations for each configuration.",
publisher = "Serbian Society of Mechanics",
journal = "5th International Congress of Serbian Society of Mechanics, Aranđelovac, 2015",
title = "Comparison of various optimization criteria for actuator placement for active vibration control of smart composite beam",
number = "C2b",
url = "https://hdl.handle.net/21.15107/rcub_machinery_4076"
}

Zorić, N., Tomović, A., Mitrović, Z., Lazarević, M.,& Pavišić, M.. (2015). Comparison of various optimization criteria for actuator placement for active vibration control of smart composite beam. in 5th International Congress of Serbian Society of Mechanics, Aranđelovac, 2015
Serbian Society of Mechanics.(C2b).
https://hdl.handle.net/21.15107/rcub_machinery_4076

Zorić N, Tomović A, Mitrović Z, Lazarević M, Pavišić M. Comparison of various optimization criteria for actuator placement for active vibration control of smart composite beam. in 5th International Congress of Serbian Society of Mechanics, Aranđelovac, 2015. 2015;(C2b).
https://hdl.handle.net/21.15107/rcub_machinery_4076 .

Zorić, Nemanja, Tomović, Aleksandar, Mitrović, Zoran, Lazarević, Mihailo, Pavišić, Mirko, "Comparison of various optimization criteria for actuator placement for active vibration control of smart composite beam" in 5th International Congress of Serbian Society of Mechanics, Aranđelovac, 2015, no. C2b (2015),
https://hdl.handle.net/21.15107/rcub_machinery_4076 .

TY  - JOUR
AU  - Šalinić, Slaviša
AU  - Obradović, Aleksandar
AU  - Rusov, Srđan
AU  - Mitrović, Zoran
AU  - Stokić, Zoran
PY  - 2015
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3939
AB  - Using the optimal control theory, the problem of finding profiles of gravity flow discharge chutes required to achieve maximum exit velocity of granular material under the speed dependent resisting forces is solved. A model of a particle moving down a curve which is treated as a unilateral constraint is used. The fast flow condition and the condition that the particle does not leave the curve are introduced as the additional inequality constraints. The influence of the initial particle speed and the power of the speed in the expression for the resisting force on the optimal chute profile are analyzed.
PB  - Elsevier, Amsterdam
T2  - Powder Technology
T1  - Optimization of gravity flow discharge chutes under the speed dependent resisting forces: Maximizing exit velocity
EP  - 209
SP  - 203
VL  - 273
DO  - 10.1016/j.powtec.2014.12.051
ER  - 

@article{
author = "Šalinić, Slaviša and Obradović, Aleksandar and Rusov, Srđan and Mitrović, Zoran and Stokić, Zoran",
year = "2015",
abstract = "Using the optimal control theory, the problem of finding profiles of gravity flow discharge chutes required to achieve maximum exit velocity of granular material under the speed dependent resisting forces is solved. A model of a particle moving down a curve which is treated as a unilateral constraint is used. The fast flow condition and the condition that the particle does not leave the curve are introduced as the additional inequality constraints. The influence of the initial particle speed and the power of the speed in the expression for the resisting force on the optimal chute profile are analyzed.",
publisher = "Elsevier, Amsterdam",
journal = "Powder Technology",
title = "Optimization of gravity flow discharge chutes under the speed dependent resisting forces: Maximizing exit velocity",
pages = "209-203",
volume = "273",
doi = "10.1016/j.powtec.2014.12.051"
}

Šalinić, S., Obradović, A., Rusov, S., Mitrović, Z.,& Stokić, Z.. (2015). Optimization of gravity flow discharge chutes under the speed dependent resisting forces: Maximizing exit velocity. in Powder Technology
Elsevier, Amsterdam., 273, 203-209.
https://doi.org/10.1016/j.powtec.2014.12.051

Šalinić S, Obradović A, Rusov S, Mitrović Z, Stokić Z. Optimization of gravity flow discharge chutes under the speed dependent resisting forces: Maximizing exit velocity. in Powder Technology. 2015;273:203-209.
doi:10.1016/j.powtec.2014.12.051 .

Šalinić, Slaviša, Obradović, Aleksandar, Rusov, Srđan, Mitrović, Zoran, Stokić, Zoran, "Optimization of gravity flow discharge chutes under the speed dependent resisting forces: Maximizing exit velocity" in Powder Technology, 273 (2015):203-209,
https://doi.org/10.1016/j.powtec.2014.12.051 . .

TY  - JOUR
AU  - Šalinić, Slaviša
AU  - Obradović, Aleksandar
AU  - Rusov, Srđan
AU  - Mitrović, Zoran
AU  - Stokić, Zoran
PY  - 2015
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/2186
AB  - Using the optimal control theory, the problem of finding profiles of gravity flow discharge chutes required to achieve maximum exit velocity of granular material under the speed dependent resisting forces is solved. A model of a particle moving down a curve which is treated as a unilateral constraint is used. The fast flow condition and the condition that the particle does not leave the curve are introduced as the additional inequality constraints. The influence of the initial particle speed and the power of the speed in the expression for the resisting force on the optimal chute profile are analyzed.
PB  - Elsevier, Amsterdam
T2  - Powder Technology
T1  - Optimization of gravity flow discharge chutes under the speed dependent resisting forces: Maximizing exit velocity
EP  - 209
SP  - 203
VL  - 273
DO  - 10.1016/j.powtec.2014.12.051
ER  - 

@article{
author = "Šalinić, Slaviša and Obradović, Aleksandar and Rusov, Srđan and Mitrović, Zoran and Stokić, Zoran",
year = "2015",
abstract = "Using the optimal control theory, the problem of finding profiles of gravity flow discharge chutes required to achieve maximum exit velocity of granular material under the speed dependent resisting forces is solved. A model of a particle moving down a curve which is treated as a unilateral constraint is used. The fast flow condition and the condition that the particle does not leave the curve are introduced as the additional inequality constraints. The influence of the initial particle speed and the power of the speed in the expression for the resisting force on the optimal chute profile are analyzed.",
publisher = "Elsevier, Amsterdam",
journal = "Powder Technology",
title = "Optimization of gravity flow discharge chutes under the speed dependent resisting forces: Maximizing exit velocity",
pages = "209-203",
volume = "273",
doi = "10.1016/j.powtec.2014.12.051"
}

Šalinić, S., Obradović, A., Rusov, S., Mitrović, Z.,& Stokić, Z.. (2015). Optimization of gravity flow discharge chutes under the speed dependent resisting forces: Maximizing exit velocity. in Powder Technology
Elsevier, Amsterdam., 273, 203-209.
https://doi.org/10.1016/j.powtec.2014.12.051

Šalinić S, Obradović A, Rusov S, Mitrović Z, Stokić Z. Optimization of gravity flow discharge chutes under the speed dependent resisting forces: Maximizing exit velocity. in Powder Technology. 2015;273:203-209.
doi:10.1016/j.powtec.2014.12.051 .

Šalinić, Slaviša, Obradović, Aleksandar, Rusov, Srđan, Mitrović, Zoran, Stokić, Zoran, "Optimization of gravity flow discharge chutes under the speed dependent resisting forces: Maximizing exit velocity" in Powder Technology, 273 (2015):203-209,
https://doi.org/10.1016/j.powtec.2014.12.051 . .

TY  - CONF
AU  - Zorić, Nemanja
AU  - Jovanović, Miroslav
AU  - Lukić, Nebojša
AU  - Simonović, Aleksandar
AU  - Mitrović, Zoran
AU  - Stupar, Slobodan
PY  - 2014
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4048
AB  - Piezoelectric actuators and sensors have a wide range of application in the active vibration control of flexible
structures. Control performances of the smart structures depend on the size and position of piezoelectric actuators and
sensors on a smart structure. This paper deals with the optimization of sizing, location and orientation of piezoelectric
actuators-sensors pairs on thin-walled composite plate. Optimization criteria are based on eigenvalues of the
controllability Grammian matrix. The optimization problem is formulated by integration of finite element method based
on the third-order shear deformation theory and the particle swarm optimization method. Numerical examples are
provided for symmetric cross ply cantilever quadratic composite laminates. Linear quadratic regulator has been
implemented for active vibration control of the composite plates with the optimized piezoelectric actuator-sensor pairs
in order to show the efficiency of presented optimization method.
PB  - Belgrade : Military Technical Institute
C3  - 6th International Scientific Conference on Defensive Technologies (OTEH 2014), Beograd, Serbia
T1  - Optimization of sizing, location and orientation of piezoelectric actuator-sensor pairs on composite plate
EP  - 539
SP  - 534
UR  - https://hdl.handle.net/21.15107/rcub_machinery_4048
ER  - 

@conference{
author = "Zorić, Nemanja and Jovanović, Miroslav and Lukić, Nebojša and Simonović, Aleksandar and Mitrović, Zoran and Stupar, Slobodan",
year = "2014",
abstract = "Piezoelectric actuators and sensors have a wide range of application in the active vibration control of flexible
structures. Control performances of the smart structures depend on the size and position of piezoelectric actuators and
sensors on a smart structure. This paper deals with the optimization of sizing, location and orientation of piezoelectric
actuators-sensors pairs on thin-walled composite plate. Optimization criteria are based on eigenvalues of the
controllability Grammian matrix. The optimization problem is formulated by integration of finite element method based
on the third-order shear deformation theory and the particle swarm optimization method. Numerical examples are
provided for symmetric cross ply cantilever quadratic composite laminates. Linear quadratic regulator has been
implemented for active vibration control of the composite plates with the optimized piezoelectric actuator-sensor pairs
in order to show the efficiency of presented optimization method.",
publisher = "Belgrade : Military Technical Institute",
journal = "6th International Scientific Conference on Defensive Technologies (OTEH 2014), Beograd, Serbia",
title = "Optimization of sizing, location and orientation of piezoelectric actuator-sensor pairs on composite plate",
pages = "539-534",
url = "https://hdl.handle.net/21.15107/rcub_machinery_4048"
}

Zorić, N., Jovanović, M., Lukić, N., Simonović, A., Mitrović, Z.,& Stupar, S.. (2014). Optimization of sizing, location and orientation of piezoelectric actuator-sensor pairs on composite plate. in 6th International Scientific Conference on Defensive Technologies (OTEH 2014), Beograd, Serbia
Belgrade : Military Technical Institute., 534-539.
https://hdl.handle.net/21.15107/rcub_machinery_4048

Zorić N, Jovanović M, Lukić N, Simonović A, Mitrović Z, Stupar S. Optimization of sizing, location and orientation of piezoelectric actuator-sensor pairs on composite plate. in 6th International Scientific Conference on Defensive Technologies (OTEH 2014), Beograd, Serbia. 2014;:534-539.
https://hdl.handle.net/21.15107/rcub_machinery_4048 .

Zorić, Nemanja, Jovanović, Miroslav, Lukić, Nebojša, Simonović, Aleksandar, Mitrović, Zoran, Stupar, Slobodan, "Optimization of sizing, location and orientation of piezoelectric actuator-sensor pairs on composite plate" in 6th International Scientific Conference on Defensive Technologies (OTEH 2014), Beograd, Serbia (2014):534-539,
https://hdl.handle.net/21.15107/rcub_machinery_4048 .

TY  - JOUR
AU  - Obradović, Aleksandar
AU  - Šalinić, Slaviša
AU  - Jeremić, Olivera
AU  - Mitrović, Zoran
PY  - 2014
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/1888
AB  - The problem of the brachistochronic motion of a mechanical system composed of rigid bodies and variable-mass particles is solved. The laws of the time-rate of mass variation of the particles as well as relative velocities of the expelled (or gained) masses are assumed to be known. The system moves in an arbitrary field of known potential and nonpotential forces. Applying Pontryagin's minimum principle along with singular optimal control theory, a corresponding two-point boundary value problem is obtained. The appropriate numerical procedure based on the shooting method to solve the obtained two-point boundary value problem is presented. The considerations in the paper are illustrated by an example of determining the brachistochronic motion of a system composed of a rigid rod and two variable-mass particles attached to the rod.
PB  - Sage Publications Ltd, London
T2  - Mathematics and Mechanics of Solids
T1  - On the brachistochronic motion of a variable-mass mechanical system in general force fields
EP  - 410
IS  - 4
SP  - 398
VL  - 19
DO  - 10.1177/1081286512467563
ER  - 

@article{
author = "Obradović, Aleksandar and Šalinić, Slaviša and Jeremić, Olivera and Mitrović, Zoran",
year = "2014",
abstract = "The problem of the brachistochronic motion of a mechanical system composed of rigid bodies and variable-mass particles is solved. The laws of the time-rate of mass variation of the particles as well as relative velocities of the expelled (or gained) masses are assumed to be known. The system moves in an arbitrary field of known potential and nonpotential forces. Applying Pontryagin's minimum principle along with singular optimal control theory, a corresponding two-point boundary value problem is obtained. The appropriate numerical procedure based on the shooting method to solve the obtained two-point boundary value problem is presented. The considerations in the paper are illustrated by an example of determining the brachistochronic motion of a system composed of a rigid rod and two variable-mass particles attached to the rod.",
publisher = "Sage Publications Ltd, London",
journal = "Mathematics and Mechanics of Solids",
title = "On the brachistochronic motion of a variable-mass mechanical system in general force fields",
pages = "410-398",
number = "4",
volume = "19",
doi = "10.1177/1081286512467563"
}

Obradović, A., Šalinić, S., Jeremić, O.,& Mitrović, Z.. (2014). On the brachistochronic motion of a variable-mass mechanical system in general force fields. in Mathematics and Mechanics of Solids
Sage Publications Ltd, London., 19(4), 398-410.
https://doi.org/10.1177/1081286512467563

Obradović A, Šalinić S, Jeremić O, Mitrović Z. On the brachistochronic motion of a variable-mass mechanical system in general force fields. in Mathematics and Mechanics of Solids. 2014;19(4):398-410.
doi:10.1177/1081286512467563 .

Obradović, Aleksandar, Šalinić, Slaviša, Jeremić, Olivera, Mitrović, Zoran, "On the brachistochronic motion of a variable-mass mechanical system in general force fields" in Mathematics and Mechanics of Solids, 19, no. 4 (2014):398-410,
https://doi.org/10.1177/1081286512467563 . .

TY  - JOUR
AU  - Zorić, Nemanja
AU  - Simonović, Aleksandar
AU  - Mitrović, Zoran
AU  - Stupar, Slobodan
AU  - Obradović, Aleksandar
AU  - Lukić, Nebojša S.
PY  - 2014
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/1914
AB  - This paper deals with active free vibrations control of smart composite beams using particle-swarm optimized self-tuning fuzzy logic controller. In order to improve the performance and robustness of the fuzzy logic controller, this paper proposes integration of self-tuning method, where scaling factors of the input variables in the fuzzy logic controller are adjusted via peak observer, with optimization of membership functions using the particle swarm optimization algorithm. The Mamdani and zero-order Takagi-Sugeno-Kang fuzzy inference methods are employed. In order to overcome stability problem, at the same time keeping advantages of the proposed self-tuning fuzzy logic controller, this controller is combined with the LQR making composite controller. Several numerical studies are provided for the cantilever composite beam for both single mode and multimodal cases. In the multimodal case, a large-scale system is decomposed into smaller subsystems in a parallel structure. In order to represent the efficiency of the proposed controller, obtained results are compared with the corresponding results in the cases of the optimized fuzzy logic controllers with constant scaling factors and linear quadratic regulator.
PB  - Academic Press Ltd- Elsevier Science Ltd, London
T2  - Journal of Sound and Vibration
T1  - Free vibration control of smart composite beams using particle swarm optimized self-tuning fuzzy logic controller
EP  - 5268
IS  - 21
SP  - 5244
VL  - 333
DO  - 10.1016/j.jsv.2014.06.001
ER  - 

@article{
author = "Zorić, Nemanja and Simonović, Aleksandar and Mitrović, Zoran and Stupar, Slobodan and Obradović, Aleksandar and Lukić, Nebojša S.",
year = "2014",
abstract = "This paper deals with active free vibrations control of smart composite beams using particle-swarm optimized self-tuning fuzzy logic controller. In order to improve the performance and robustness of the fuzzy logic controller, this paper proposes integration of self-tuning method, where scaling factors of the input variables in the fuzzy logic controller are adjusted via peak observer, with optimization of membership functions using the particle swarm optimization algorithm. The Mamdani and zero-order Takagi-Sugeno-Kang fuzzy inference methods are employed. In order to overcome stability problem, at the same time keeping advantages of the proposed self-tuning fuzzy logic controller, this controller is combined with the LQR making composite controller. Several numerical studies are provided for the cantilever composite beam for both single mode and multimodal cases. In the multimodal case, a large-scale system is decomposed into smaller subsystems in a parallel structure. In order to represent the efficiency of the proposed controller, obtained results are compared with the corresponding results in the cases of the optimized fuzzy logic controllers with constant scaling factors and linear quadratic regulator.",
publisher = "Academic Press Ltd- Elsevier Science Ltd, London",
journal = "Journal of Sound and Vibration",
title = "Free vibration control of smart composite beams using particle swarm optimized self-tuning fuzzy logic controller",
pages = "5268-5244",
number = "21",
volume = "333",
doi = "10.1016/j.jsv.2014.06.001"
}

Zorić, N., Simonović, A., Mitrović, Z., Stupar, S., Obradović, A.,& Lukić, N. S.. (2014). Free vibration control of smart composite beams using particle swarm optimized self-tuning fuzzy logic controller. in Journal of Sound and Vibration
Academic Press Ltd- Elsevier Science Ltd, London., 333(21), 5244-5268.
https://doi.org/10.1016/j.jsv.2014.06.001

Zorić N, Simonović A, Mitrović Z, Stupar S, Obradović A, Lukić NS. Free vibration control of smart composite beams using particle swarm optimized self-tuning fuzzy logic controller. in Journal of Sound and Vibration. 2014;333(21):5244-5268.
doi:10.1016/j.jsv.2014.06.001 .

Zorić, Nemanja, Simonović, Aleksandar, Mitrović, Zoran, Stupar, Slobodan, Obradović, Aleksandar, Lukić, Nebojša S., "Free vibration control of smart composite beams using particle swarm optimized self-tuning fuzzy logic controller" in Journal of Sound and Vibration, 333, no. 21 (2014):5244-5268,
https://doi.org/10.1016/j.jsv.2014.06.001 . .

TY  - JOUR
AU  - Cović, V.
AU  - Mitrović, Zoran
AU  - Rusov, Srđan
AU  - Obradović, Aleksandar
PY  - 2013
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/1704
AB  - The Lyapunov first method generalized to the case of nonlinear differential equations is applied to the study of the instability of the equilibrium position of a mechanical system, whose motion is constrained by singular nonholonomic constraints. Starting from the results of S. D. Furta (On the instability of equilibrium position of constrained mechanical systems) three theorems on the instability are formulated. The first theorem considers the case of nonholonomic constraints that do not satisfy the condition of weak nonholonomity. The other two theorems are related to the case of weakly nonholonomic systems. In each of the formulated theorems it is shown that the minimum form of Maclaurin series for the potential energy has not a local minimum. Thus, a contribution has been made to the inversion of Lagrange's theorem.
PB  - Wiley-V C H Verlag Gmbh, Weinheim
T2  - Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik
T1  - On the instability of equilibrium position of a mechanical system with singular constraints
EP  - 936
IS  - 12
SP  - 928
VL  - 93
DO  - 10.1002/zamm.201200080
ER  - 

@article{
author = "Cović, V. and Mitrović, Zoran and Rusov, Srđan and Obradović, Aleksandar",
year = "2013",
abstract = "The Lyapunov first method generalized to the case of nonlinear differential equations is applied to the study of the instability of the equilibrium position of a mechanical system, whose motion is constrained by singular nonholonomic constraints. Starting from the results of S. D. Furta (On the instability of equilibrium position of constrained mechanical systems) three theorems on the instability are formulated. The first theorem considers the case of nonholonomic constraints that do not satisfy the condition of weak nonholonomity. The other two theorems are related to the case of weakly nonholonomic systems. In each of the formulated theorems it is shown that the minimum form of Maclaurin series for the potential energy has not a local minimum. Thus, a contribution has been made to the inversion of Lagrange's theorem.",
publisher = "Wiley-V C H Verlag Gmbh, Weinheim",
journal = "Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik",
title = "On the instability of equilibrium position of a mechanical system with singular constraints",
pages = "936-928",
number = "12",
volume = "93",
doi = "10.1002/zamm.201200080"
}

Cović, V., Mitrović, Z., Rusov, S.,& Obradović, A.. (2013). On the instability of equilibrium position of a mechanical system with singular constraints. in Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik
Wiley-V C H Verlag Gmbh, Weinheim., 93(12), 928-936.
https://doi.org/10.1002/zamm.201200080

Cović V, Mitrović Z, Rusov S, Obradović A. On the instability of equilibrium position of a mechanical system with singular constraints. in Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik. 2013;93(12):928-936.
doi:10.1002/zamm.201200080 .

Cović, V., Mitrović, Zoran, Rusov, Srđan, Obradović, Aleksandar, "On the instability of equilibrium position of a mechanical system with singular constraints" in Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik, 93, no. 12 (2013):928-936,
https://doi.org/10.1002/zamm.201200080 . .

TY  - JOUR
AU  - Šalinić, Slaviša
AU  - Obradović, Aleksandar
AU  - Mitrović, Zoran
AU  - Rusov, Srđan
PY  - 2013
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/1687
AB  - This paper deals with the brachistochronic motion of the Chaplygin sleigh on a horizontal plane surface. Two cases are considered, such as: the case when the magnitude of the horizontal reaction force at the contact point of the knife edge with the surface is unbounded, and the case when the magnitude of this force is bounded. The problem is solved by applying Pontryagin's maximum principle and singular optimal control theory. The angular acceleration of the sleigh is taken for a control variable. The problem considered is reduced to solving the corresponding two-point boundary value problem. In order to solve the obtained boundary value problem, an appropriate numerical procedure based on the shooting method is presented. Also, the paper analyzes the influence of the bounded magnitude of the reaction force on the structure of the controller sequence. It is shown that in the case of unbounded magnitude of the reaction force, the control is singular, and in the case of bounded magnitude, the control is, in a general case, a combination of singular and bang-bang controls.
PB  - Springer Wien, Wien
T2  - Acta Mechanica
T1  - On the brachistochronic motion of the Chaplygin sleigh
EP  - 2141
IS  - 9
SP  - 2127
VL  - 224
DO  - 10.1007/s00707-013-0878-2
ER  - 

@article{
author = "Šalinić, Slaviša and Obradović, Aleksandar and Mitrović, Zoran and Rusov, Srđan",
year = "2013",
abstract = "This paper deals with the brachistochronic motion of the Chaplygin sleigh on a horizontal plane surface. Two cases are considered, such as: the case when the magnitude of the horizontal reaction force at the contact point of the knife edge with the surface is unbounded, and the case when the magnitude of this force is bounded. The problem is solved by applying Pontryagin's maximum principle and singular optimal control theory. The angular acceleration of the sleigh is taken for a control variable. The problem considered is reduced to solving the corresponding two-point boundary value problem. In order to solve the obtained boundary value problem, an appropriate numerical procedure based on the shooting method is presented. Also, the paper analyzes the influence of the bounded magnitude of the reaction force on the structure of the controller sequence. It is shown that in the case of unbounded magnitude of the reaction force, the control is singular, and in the case of bounded magnitude, the control is, in a general case, a combination of singular and bang-bang controls.",
publisher = "Springer Wien, Wien",
journal = "Acta Mechanica",
title = "On the brachistochronic motion of the Chaplygin sleigh",
pages = "2141-2127",
number = "9",
volume = "224",
doi = "10.1007/s00707-013-0878-2"
}

Šalinić, S., Obradović, A., Mitrović, Z.,& Rusov, S.. (2013). On the brachistochronic motion of the Chaplygin sleigh. in Acta Mechanica
Springer Wien, Wien., 224(9), 2127-2141.
https://doi.org/10.1007/s00707-013-0878-2

Šalinić S, Obradović A, Mitrović Z, Rusov S. On the brachistochronic motion of the Chaplygin sleigh. in Acta Mechanica. 2013;224(9):2127-2141.
doi:10.1007/s00707-013-0878-2 .

Šalinić, Slaviša, Obradović, Aleksandar, Mitrović, Zoran, Rusov, Srđan, "On the brachistochronic motion of the Chaplygin sleigh" in Acta Mechanica, 224, no. 9 (2013):2127-2141,
https://doi.org/10.1007/s00707-013-0878-2 . .

TY  - JOUR
AU  - Zorić, Nemanja
AU  - Simonović, Aleksandar
AU  - Mitrović, Zoran
AU  - Stupar, Slobodan
PY  - 2013
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/1674
AB  - Control performances of smart structures depend on the size and location of the piezoelectric actuators and sensors as well as on the applied control algorithm. This article presents optimal vibration control of a thin-walled composite beam by using the fuzzy optimization strategy based on the particle swarm optimization algorithm. The optimization of the size and location of the conventionally collocated piezoelectric actuators and sensors, and optimization of the controller parameters are performed separately. The optimization criteria for optimal size and location of piezoelectric actuators and sensors are based on eigenvalues of the controllability Grammian matrix. The optimization procedure implies constraint of the original dynamic properties change and limitation of the beam mass increase. The particle swarm optimization-based linear quadratic regulator has been implemented for optimal vibration control in order to maximize the modal closed-loop damping ratios and minimize the control voltages required for actuation while keeping them below breakdown voltage for the used piezoelectric actuator. A pseudo-goal function, derived from the fuzzy set theory, gives an expression for global objective functions eliminating the use of weighting coefficients and penalty functions. The problem is formulated using the finite element method based on the third-order shear deformation theory. Several numerical examples are presented for the cantilever beam.
PB  - Sage Publications Ltd, London
T2  - Journal of Intelligent Material Systems and Structures
T1  - Optimal vibration control of smart composite beams with optimal size and location of piezoelectric sensing and actuation
EP  - 526
IS  - 4
SP  - 499
VL  - 24
DO  - 10.1177/1045389X12463465
ER  - 

@article{
author = "Zorić, Nemanja and Simonović, Aleksandar and Mitrović, Zoran and Stupar, Slobodan",
year = "2013",
abstract = "Control performances of smart structures depend on the size and location of the piezoelectric actuators and sensors as well as on the applied control algorithm. This article presents optimal vibration control of a thin-walled composite beam by using the fuzzy optimization strategy based on the particle swarm optimization algorithm. The optimization of the size and location of the conventionally collocated piezoelectric actuators and sensors, and optimization of the controller parameters are performed separately. The optimization criteria for optimal size and location of piezoelectric actuators and sensors are based on eigenvalues of the controllability Grammian matrix. The optimization procedure implies constraint of the original dynamic properties change and limitation of the beam mass increase. The particle swarm optimization-based linear quadratic regulator has been implemented for optimal vibration control in order to maximize the modal closed-loop damping ratios and minimize the control voltages required for actuation while keeping them below breakdown voltage for the used piezoelectric actuator. A pseudo-goal function, derived from the fuzzy set theory, gives an expression for global objective functions eliminating the use of weighting coefficients and penalty functions. The problem is formulated using the finite element method based on the third-order shear deformation theory. Several numerical examples are presented for the cantilever beam.",
publisher = "Sage Publications Ltd, London",
journal = "Journal of Intelligent Material Systems and Structures",
title = "Optimal vibration control of smart composite beams with optimal size and location of piezoelectric sensing and actuation",
pages = "526-499",
number = "4",
volume = "24",
doi = "10.1177/1045389X12463465"
}

Zorić, N., Simonović, A., Mitrović, Z.,& Stupar, S.. (2013). Optimal vibration control of smart composite beams with optimal size and location of piezoelectric sensing and actuation. in Journal of Intelligent Material Systems and Structures
Sage Publications Ltd, London., 24(4), 499-526.
https://doi.org/10.1177/1045389X12463465

Zorić N, Simonović A, Mitrović Z, Stupar S. Optimal vibration control of smart composite beams with optimal size and location of piezoelectric sensing and actuation. in Journal of Intelligent Material Systems and Structures. 2013;24(4):499-526.
doi:10.1177/1045389X12463465 .

Zorić, Nemanja, Simonović, Aleksandar, Mitrović, Zoran, Stupar, Slobodan, "Optimal vibration control of smart composite beams with optimal size and location of piezoelectric sensing and actuation" in Journal of Intelligent Material Systems and Structures, 24, no. 4 (2013):499-526,
https://doi.org/10.1177/1045389X12463465 . .

TY  - JOUR
AU  - Zorić, Nemanja
AU  - Simonović, Aleksandar
AU  - Mitrović, Zoran
AU  - Stupar, Slobodan
PY  - 2013
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/1819
AB  - This paper presents the optimized fuzzy logic controller (FLC) with on-line tuning of scaling factors for vibration control of thin-walled composite beams. In order to improve the performances and robustness properties of FLC, the proposed method adjusts the input scaling factors via peak observer. The membership functions of the proposed FLC are optimized using the particle swarm optimization (PSO) algorithm. The composite beam is modeled by the third-order shear deformation theory (TSDT) and discretized by using the finite element method. Several numerical examples are provided for the cantilever composite beam under a periodic excitation and periodic excitation with an unexpected disturbance. In order to present the efficiency of the proposed controller, the obtained results are compared with the corresponding results in the cases of the optimized FLCs with constant scaling factors and LQR optimal control strategy.
PB  - Polish Society of Theoretical and Allied Mechanics
T2  - Journal of Theoretical and Applied Mechanics
T1  - Active vibration control of smart composite beams using pso-optimized self-tuning fuzzy logic controller
EP  - 286
IS  - 2
SP  - 275
VL  - 51
UR  - https://hdl.handle.net/21.15107/rcub_machinery_1819
ER  - 

@article{
author = "Zorić, Nemanja and Simonović, Aleksandar and Mitrović, Zoran and Stupar, Slobodan",
year = "2013",
abstract = "This paper presents the optimized fuzzy logic controller (FLC) with on-line tuning of scaling factors for vibration control of thin-walled composite beams. In order to improve the performances and robustness properties of FLC, the proposed method adjusts the input scaling factors via peak observer. The membership functions of the proposed FLC are optimized using the particle swarm optimization (PSO) algorithm. The composite beam is modeled by the third-order shear deformation theory (TSDT) and discretized by using the finite element method. Several numerical examples are provided for the cantilever composite beam under a periodic excitation and periodic excitation with an unexpected disturbance. In order to present the efficiency of the proposed controller, the obtained results are compared with the corresponding results in the cases of the optimized FLCs with constant scaling factors and LQR optimal control strategy.",
publisher = "Polish Society of Theoretical and Allied Mechanics",
journal = "Journal of Theoretical and Applied Mechanics",
title = "Active vibration control of smart composite beams using pso-optimized self-tuning fuzzy logic controller",
pages = "286-275",
number = "2",
volume = "51",
url = "https://hdl.handle.net/21.15107/rcub_machinery_1819"
}

Zorić, N., Simonović, A., Mitrović, Z.,& Stupar, S.. (2013). Active vibration control of smart composite beams using pso-optimized self-tuning fuzzy logic controller. in Journal of Theoretical and Applied Mechanics
Polish Society of Theoretical and Allied Mechanics., 51(2), 275-286.
https://hdl.handle.net/21.15107/rcub_machinery_1819

Zorić N, Simonović A, Mitrović Z, Stupar S. Active vibration control of smart composite beams using pso-optimized self-tuning fuzzy logic controller. in Journal of Theoretical and Applied Mechanics. 2013;51(2):275-286.
https://hdl.handle.net/21.15107/rcub_machinery_1819 .

Zorić, Nemanja, Simonović, Aleksandar, Mitrović, Zoran, Stupar, Slobodan, "Active vibration control of smart composite beams using pso-optimized self-tuning fuzzy logic controller" in Journal of Theoretical and Applied Mechanics, 51, no. 2 (2013):275-286,
https://hdl.handle.net/21.15107/rcub_machinery_1819 .

TY  - JOUR
AU  - Šalinić, Slaviša
AU  - Obradović, Aleksandar
AU  - Mitrović, Zoran
AU  - Rusov, Srđan
PY  - 2012
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3928
AB  - Erratum to: Brachistochrone with limited reaction of constraint in an arbitrary force field
PB  - Springer, Dordrecht
T2  - Nonlinear Dynamics
T1  - Erratum: Šalinić, S.; Obradović, A.; Mitrović, Z.; Rusov, S. Brachistochrone with Limited Reaction of Constraint in an Arbitrary Force Field. Nonlinear Dynamics 2012, 69 (1–2), 211–222. https://doi.org/10.1007/s11071-011-0258-1.
EP  - 892
SP  - 891
VL  - 70
DO  - 10.1007/S11071-012-0553-5
ER  - 

@article{
author = "Šalinić, Slaviša and Obradović, Aleksandar and Mitrović, Zoran and Rusov, Srđan",
year = "2012",
abstract = "Erratum to: Brachistochrone with limited reaction of constraint in an arbitrary force field",
publisher = "Springer, Dordrecht",
journal = "Nonlinear Dynamics",
title = "Erratum: Šalinić, S.; Obradović, A.; Mitrović, Z.; Rusov, S. Brachistochrone with Limited Reaction of Constraint in an Arbitrary Force Field. Nonlinear Dynamics 2012, 69 (1–2), 211–222. https://doi.org/10.1007/s11071-011-0258-1.",
pages = "892-891",
volume = "70",
doi = "10.1007/S11071-012-0553-5"
}

Šalinić, S., Obradović, A., Mitrović, Z.,& Rusov, S.. (2012). Erratum: Šalinić, S.; Obradović, A.; Mitrović, Z.; Rusov, S. Brachistochrone with Limited Reaction of Constraint in an Arbitrary Force Field. Nonlinear Dynamics 2012, 69 (1–2), 211–222. https://doi.org/10.1007/s11071-011-0258-1.. in Nonlinear Dynamics
Springer, Dordrecht., 70, 891-892.
https://doi.org/10.1007/S11071-012-0553-5

Šalinić S, Obradović A, Mitrović Z, Rusov S. Erratum: Šalinić, S.; Obradović, A.; Mitrović, Z.; Rusov, S. Brachistochrone with Limited Reaction of Constraint in an Arbitrary Force Field. Nonlinear Dynamics 2012, 69 (1–2), 211–222. https://doi.org/10.1007/s11071-011-0258-1.. in Nonlinear Dynamics. 2012;70:891-892.
doi:10.1007/S11071-012-0553-5 .

Šalinić, Slaviša, Obradović, Aleksandar, Mitrović, Zoran, Rusov, Srđan, "Erratum: Šalinić, S.; Obradović, A.; Mitrović, Z.; Rusov, S. Brachistochrone with Limited Reaction of Constraint in an Arbitrary Force Field. Nonlinear Dynamics 2012, 69 (1–2), 211–222. https://doi.org/10.1007/s11071-011-0258-1." in Nonlinear Dynamics, 70 (2012):891-892,
https://doi.org/10.1007/S11071-012-0553-5 . .

TY  - CONF
AU  - Zorić, Nemanja
AU  - Mitrović, Zoran
AU  - Simonović, Aleksandar
AU  - Stupar, Slobodan
PY  - 2012
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/1566
PB  - University of Belgrade
C3  - 29th DANUBlA-ADRIA Symposium on Advances in Experimental Mechanics, DAS 2012
T1  - A PIC32 based activevibration control ofsmart composite beams
EP  - 197
SP  - 194
UR  - https://hdl.handle.net/21.15107/rcub_machinery_1566
ER  - 

@conference{
author = "Zorić, Nemanja and Mitrović, Zoran and Simonović, Aleksandar and Stupar, Slobodan",
year = "2012",
publisher = "University of Belgrade",
journal = "29th DANUBlA-ADRIA Symposium on Advances in Experimental Mechanics, DAS 2012",
title = "A PIC32 based activevibration control ofsmart composite beams",
pages = "197-194",
url = "https://hdl.handle.net/21.15107/rcub_machinery_1566"
}

Zorić, N., Mitrović, Z., Simonović, A.,& Stupar, S.. (2012). A PIC32 based activevibration control ofsmart composite beams. in 29th DANUBlA-ADRIA Symposium on Advances in Experimental Mechanics, DAS 2012
University of Belgrade., 194-197.
https://hdl.handle.net/21.15107/rcub_machinery_1566

Zorić N, Mitrović Z, Simonović A, Stupar S. A PIC32 based activevibration control ofsmart composite beams. in 29th DANUBlA-ADRIA Symposium on Advances in Experimental Mechanics, DAS 2012. 2012;:194-197.
https://hdl.handle.net/21.15107/rcub_machinery_1566 .

Zorić, Nemanja, Mitrović, Zoran, Simonović, Aleksandar, Stupar, Slobodan, "A PIC32 based activevibration control ofsmart composite beams" in 29th DANUBlA-ADRIA Symposium on Advances in Experimental Mechanics, DAS 2012 (2012):194-197,
https://hdl.handle.net/21.15107/rcub_machinery_1566 .

TY  - JOUR
AU  - Djukić, Marko
AU  - Rusov, Srđan
AU  - Mitrović, Zoran
AU  - Obradović, Aleksandar
AU  - Šalinić, Slaviša
PY  - 2012
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/1540
AB  - This paper shows the process of braking force realization by air brakes with brake shoes accompanied by a suitable mechanical model. The complexity of adhesion nature as a physical phenomenon as well as the limited factors on which the braking force value depends are pointed out. According to this, the model of braking force realization based on the fuzzy set theory is explained. The procedure of fuzzy controller projecting with a task to regulate the value of kidding and by that the value of braking torque through the air pressure in the braking cylinder by maximizing the braking force that can be realized according to adhesion conditions is described. The testing of the optimization model under concrete adhesion conditions of the wheels on the rails is done at the end of the paper.
PB  - Polish Society of Theoretical and Allied Mechanics
T2  - Journal of Theoretical and Applied Mechanics
T1  - Fuzzy model for braking force maximization
EP  - 1048
IS  - 4
SP  - 1037
VL  - 50
UR  - https://hdl.handle.net/21.15107/rcub_machinery_1540
ER  - 

@article{
author = "Djukić, Marko and Rusov, Srđan and Mitrović, Zoran and Obradović, Aleksandar and Šalinić, Slaviša",
year = "2012",
abstract = "This paper shows the process of braking force realization by air brakes with brake shoes accompanied by a suitable mechanical model. The complexity of adhesion nature as a physical phenomenon as well as the limited factors on which the braking force value depends are pointed out. According to this, the model of braking force realization based on the fuzzy set theory is explained. The procedure of fuzzy controller projecting with a task to regulate the value of kidding and by that the value of braking torque through the air pressure in the braking cylinder by maximizing the braking force that can be realized according to adhesion conditions is described. The testing of the optimization model under concrete adhesion conditions of the wheels on the rails is done at the end of the paper.",
publisher = "Polish Society of Theoretical and Allied Mechanics",
journal = "Journal of Theoretical and Applied Mechanics",
title = "Fuzzy model for braking force maximization",
pages = "1048-1037",
number = "4",
volume = "50",
url = "https://hdl.handle.net/21.15107/rcub_machinery_1540"
}

Djukić, M., Rusov, S., Mitrović, Z., Obradović, A.,& Šalinić, S.. (2012). Fuzzy model for braking force maximization. in Journal of Theoretical and Applied Mechanics
Polish Society of Theoretical and Allied Mechanics., 50(4), 1037-1048.
https://hdl.handle.net/21.15107/rcub_machinery_1540

Djukić M, Rusov S, Mitrović Z, Obradović A, Šalinić S. Fuzzy model for braking force maximization. in Journal of Theoretical and Applied Mechanics. 2012;50(4):1037-1048.
https://hdl.handle.net/21.15107/rcub_machinery_1540 .

Djukić, Marko, Rusov, Srđan, Mitrović, Zoran, Obradović, Aleksandar, Šalinić, Slaviša, "Fuzzy model for braking force maximization" in Journal of Theoretical and Applied Mechanics, 50, no. 4 (2012):1037-1048,
https://hdl.handle.net/21.15107/rcub_machinery_1540 .

TY  - JOUR
AU  - Šalinić, Slaviša
AU  - Obradović, Aleksandar
AU  - Mitrović, Zoran
AU  - Rusov, Srđan
PY  - 2012
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/1501
AB  - The paper considers brachistochronic motion of a particle along a curve y=y(x) in an arbitrary force field in the vertical plane of Cartesian coordinate system. The curve is treated as a bilateral or unilateral constraint that can be smooth or rough. The projection of the reaction force of the curve onto the normal to the curve is confined to the fixed limits. A control variable u is given as the second derivative of the function y(x) relative to the horizontal coordinate x of the particle, i.e., u=d (2) y/dx (2). Applying Pontryagin's maximum principle and singular optimal control theory, the problem is reduced to numerical solving of the corresponding two-point boundary value problem. The procedure based on the shooting method is used to solve the boundary value problem. Two examples with friction forces of the viscous friction and Coulomb friction type have been solved.
PB  - Springer, Dordrecht
T2  - Nonlinear Dynamics
T1  - Brachistochrone with limited reaction of constraint in an arbitrary force field
EP  - 222
IS  - 1-2
SP  - 211
VL  - 69
DO  - 10.1007/s11071-011-0258-1
ER  - 

@article{
author = "Šalinić, Slaviša and Obradović, Aleksandar and Mitrović, Zoran and Rusov, Srđan",
year = "2012",
abstract = "The paper considers brachistochronic motion of a particle along a curve y=y(x) in an arbitrary force field in the vertical plane of Cartesian coordinate system. The curve is treated as a bilateral or unilateral constraint that can be smooth or rough. The projection of the reaction force of the curve onto the normal to the curve is confined to the fixed limits. A control variable u is given as the second derivative of the function y(x) relative to the horizontal coordinate x of the particle, i.e., u=d (2) y/dx (2). Applying Pontryagin's maximum principle and singular optimal control theory, the problem is reduced to numerical solving of the corresponding two-point boundary value problem. The procedure based on the shooting method is used to solve the boundary value problem. Two examples with friction forces of the viscous friction and Coulomb friction type have been solved.",
publisher = "Springer, Dordrecht",
journal = "Nonlinear Dynamics",
title = "Brachistochrone with limited reaction of constraint in an arbitrary force field",
pages = "222-211",
number = "1-2",
volume = "69",
doi = "10.1007/s11071-011-0258-1"
}

Šalinić, S., Obradović, A., Mitrović, Z.,& Rusov, S.. (2012). Brachistochrone with limited reaction of constraint in an arbitrary force field. in Nonlinear Dynamics
Springer, Dordrecht., 69(1-2), 211-222.
https://doi.org/10.1007/s11071-011-0258-1

Šalinić S, Obradović A, Mitrović Z, Rusov S. Brachistochrone with limited reaction of constraint in an arbitrary force field. in Nonlinear Dynamics. 2012;69(1-2):211-222.
doi:10.1007/s11071-011-0258-1 .

Šalinić, Slaviša, Obradović, Aleksandar, Mitrović, Zoran, Rusov, Srđan, "Brachistochrone with limited reaction of constraint in an arbitrary force field" in Nonlinear Dynamics, 69, no. 1-2 (2012):211-222,
https://doi.org/10.1007/s11071-011-0258-1 . .

TY  - JOUR
AU  - Šalinić, Slaviša
AU  - Obradović, Aleksandar
AU  - Mitrović, Zoran
PY  - 2012
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/1490
AB  - The problem of brachistochronic motion of a two-degree of freedom mechanical system is considered. The ideal bilateral constraints and one unilateral constraint with Coulomb friction are imposed on the system. It has been assumed that the components of the metric tensor are constant. After introducing the transformation of generalized coordinates, whereby the quadratic form of kinetic energy is reduced to a canonical form, the considered problem is geometrically interpreted as the motion of a representative point in a two-dimensional Euclidean space. Thus, the analogy with the brachistochronic motion of a particle along a curve which is treated as a unilateral constraint is achieved. The results are illustrated via an example.
PB  - Pergamon-Elsevier Science Ltd, Oxford
T2  - Mechanics Research Communications
T1  - On the brachistochronic motion of mechanical systems with unilateral constraints
EP  - 6
SP  - 1
VL  - 45
DO  - 10.1016/j.mechrescom.2012.06.006
ER  - 

@article{
author = "Šalinić, Slaviša and Obradović, Aleksandar and Mitrović, Zoran",
year = "2012",
abstract = "The problem of brachistochronic motion of a two-degree of freedom mechanical system is considered. The ideal bilateral constraints and one unilateral constraint with Coulomb friction are imposed on the system. It has been assumed that the components of the metric tensor are constant. After introducing the transformation of generalized coordinates, whereby the quadratic form of kinetic energy is reduced to a canonical form, the considered problem is geometrically interpreted as the motion of a representative point in a two-dimensional Euclidean space. Thus, the analogy with the brachistochronic motion of a particle along a curve which is treated as a unilateral constraint is achieved. The results are illustrated via an example.",
publisher = "Pergamon-Elsevier Science Ltd, Oxford",
journal = "Mechanics Research Communications",
title = "On the brachistochronic motion of mechanical systems with unilateral constraints",
pages = "6-1",
volume = "45",
doi = "10.1016/j.mechrescom.2012.06.006"
}

Šalinić, S., Obradović, A.,& Mitrović, Z.. (2012). On the brachistochronic motion of mechanical systems with unilateral constraints. in Mechanics Research Communications
Pergamon-Elsevier Science Ltd, Oxford., 45, 1-6.
https://doi.org/10.1016/j.mechrescom.2012.06.006

Šalinić S, Obradović A, Mitrović Z. On the brachistochronic motion of mechanical systems with unilateral constraints. in Mechanics Research Communications. 2012;45:1-6.
doi:10.1016/j.mechrescom.2012.06.006 .

Šalinić, Slaviša, Obradović, Aleksandar, Mitrović, Zoran, "On the brachistochronic motion of mechanical systems with unilateral constraints" in Mechanics Research Communications, 45 (2012):1-6,
https://doi.org/10.1016/j.mechrescom.2012.06.006 . .